Tamagawa factors for certain semi-stable representations

被引:3
作者
Dummigan, N [1 ]
机构
[1] Univ Sheffield, Dept Pure Math, Sheffield S3 7RH, S Yorkshire, England
关键词
D O I
10.1112/S002460930500490X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An attempt is made to generalise Bloch and Kato's calculation of some of the local Tamagawa factors appearing in their conjecture, from the crystalline case to the semi-stable case. Success is attained only under severe conditions, but the result applies to the symmetric powers of an elliptic curve with multiplicative reduction.
引用
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页码:835 / 845
页数:11
相关论文
共 22 条
[1]  
Bloch S., 1990, PROGR MATH, P333, DOI 10.1007/978-0-8176-4574-8_9
[2]   Construction of p-adic semi-stable representations [J].
Breuil, C .
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1998, 31 (03) :281-327
[3]  
Breuil C, 1997, MATH ANN, V307, P191, DOI 10.1007/s002080050031
[4]   p-torsion cohomology and crystalline cohomology in semi-stable reduction [J].
Breuil, C .
DUKE MATHEMATICAL JOURNAL, 1998, 95 (03) :523-620
[5]  
Breuil C., 2002, Algebraic geometry 2000, Azumino (Hotaka), V36, P51
[6]   Construction of semi-stable p-adic representations [J].
Colmez, P ;
Fontaine, JM .
INVENTIONES MATHEMATICAE, 2000, 140 (01) :1-43
[7]  
Deligne P., 1979, Proc. Sympos. Pure Math., V33, P313
[8]   The Tamagawa number conjecture of adjoint motives of modular forms [J].
Diamond, F ;
Flach, M ;
Guo, L .
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2004, 37 (05) :663-727
[9]   Computing special values of motivic L-functions [J].
Dokchitser, T .
EXPERIMENTAL MATHEMATICS, 2004, 13 (02) :137-149
[10]  
Dummigan N, 2003, MATH RES LETT, V10, P747